The measures of a rectangle are 8 inches by 15 inches. Find the length of the diagonal.
17 inches
18 inches
23 inches
25 inches
To find the length of the diagonal of a rectangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the diagonal) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the two sides of the rectangle are the length (8 inches) and the width (15 inches). Using the Pythagorean theorem, we can calculate the length of the diagonal:
Diagonal^2 = Length^2 + Width^2
Diagonal^2 = 8^2 + 15^2
Diagonal^2 = 64 + 225
Diagonal^2 = 289
Diagonal = √289
Diagonal ≈ 17
Therefore, the length of the diagonal of the rectangle is approximately 17 inches.
To find the length of the diagonal of a rectangle, you can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the length and width of the rectangle are given as 8 inches and 15 inches, respectively.
Let's label the length as "a" and the width as "b", and the length of the diagonal as "c".
According to the Pythagorean Theorem, we have:
c^2 = a^2 + b^2
Substituting the given values:
c^2 = 8^2 + 15^2
c^2 = 64 + 225
c^2 = 289
Taking the square root of both sides of the equation:
c = √289
c = 17
So, the length of the diagonal is 17 inches.
Therefore, the correct answer is 17 inches.